Q7 of 64 Page 30

Prove that x — 2 is a factor of p(x) = x3 — 2x2

Given, p(x) = x3 — 2x2


For (x – 2) to be a factor of p(x), the condition: p(2) = 0 ;should be satisfied.


p(2) = (2)3 – 2(2)2


= 8 – 2(4)


= 8 – 8


= 0


Hence proved that, x — 2 is a factor of p(x) = x3 — 2x2


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